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Finding the Fourth Proportional to 339.36, 508.14 and 257.64

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Solution

The fourth proportional to 339.36, 508.14 and 257.64 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.36 : 508.14 = 257.64 : x
  2. Step 2: Convert to fraction form
    339.36/508.14 = 257.64/x
  3. Step 3: Cross multiply
    339.36x = 508.14 × 257.64
  4. Step 4: Simplify right side
    339.36x = 130,917.19
  5. Step 5: Solve for x
    x = 130,917.19/339.36
  6. Step 6: Final answer
    x = 385.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.